820152251028 has 36 divisors (see below), whose sum is σ = 2261631966048. Its totient is φ = 248530985040.

The previous prime is 820152251027. The next prime is 820152251041.

820152251028 is a `hidden beast` number, since 8 + 20 + 1 + 522 + 5 + 102 + 8 = 666.

820152251028 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 820152250983 and 820152251001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820152251027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035545376 + ... + 1035546167.

It is an arithmetic number, because the mean of its divisors is an integer number (62823110168).

Almost surely, 2^820152251028 is an apocalyptic number.

It is an amenable number.

820152251028 is an abundant number, since it is smaller than the sum of its proper divisors (1441479715020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820152251028 is a wasteful number, since it uses less digits than its factorization.

820152251028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071091564 (or 2071091559 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 820152251028 in words is "eight hundred twenty billion, one hundred fifty-two million, two hundred fifty-one thousand, twenty-eight".